A factory operates with two machines of type A and one machine of type B. The weekly
Chapter 8, Problem 8.93(choose chapter or problem)
A factory operates with two machines of type A and one machine of type B. The weekly repair costs X for type A machines are normally distributed with mean 1 and variance 2. The weekly repair costs Y for machines of type B are also normally distributed but with mean 2 and variance 32. The expected repair cost per week for the factory is thus 21 + 2. If you are given a random sample X1, X2,..., Xn on costs of type A machines and an independent random sample Y1, Y2,..., Ym on costs for type B machines, show how you would construct a 95% confidence interval for 21 + 2 a if 2 is known. b if 2 is not known.
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